Approximate Confidence Computation in Probabilistic Databases

Abstract-- This paper introduces a deterministic approximation algorithm with error guarantees for computing the probability of propositional formulas over discrete random variables. The algorithm is based on an incremental compilation of formulas into decision diagrams using three types of decompositions: Shannon expansion, independence partitioning, and product factorization. With each decomposition step, lower and upper bounds on the probability of the partially compiled formula can be quickly computed and checked against the allowed error. This algorithm can be effectively used to compute approximate confidence values of answer tuples to positive relational algebra queries on general probabilistic databases (c-tables with discrete probability distributions). We further tune our algorithm so as to capture all known tractable conjunctive queries without selfjoins on tuple-independent probabilistic databases: In this case, the algorithm requires time polynomial in the input size even ...

• Type: Conference
• Year: 2010
• Where: ICDE
• Authors: Dan Olteanu, Jiewen Huang, Christoph Koch
• Keywords: Algorithm Requires Time, Database, Deterministic Approximation Algorithm, Discrete Probability Distributions, ICDE 2010